On the internal tensor structures of the fibration T ( Lm ( V n ) )

In the present paper we consider some internal tensor structures. It is proved that if on the space Lm ( V n ) there are tensor fields a j i and a β α defining almost a dual structure, then there exist such lifts of these tensor fields which represent either almost a binary structure, or almost a co...

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Bibliographic Details
Main Author: Gocha Todua
Format: Article
Language:English
Published: Elsevier 2018-04-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809217300995
Description
Summary:In the present paper we consider some internal tensor structures. It is proved that if on the space Lm ( V n ) there are tensor fields a j i and a β α defining almost a dual structure, then there exist such lifts of these tensor fields which represent either almost a binary structure, or almost a complex structure on T ( Lm ( V n ) ) . Keywords: Vector fibration, Tangent bundle, Linear connectedness, Lifts, Tensor structures
ISSN:2346-8092